10111111112000 has 56 divisors (see below), whose sum is σ = 25040166688680. Its totient is φ = 4044444441600.

The previous prime is 10111111111999. The next prime is 10111111112021. The reversal of 10111111112000 is 21111111101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 146027922496 + 9965083189504 = 382136^2 + 3156752^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 631936445 + ... + 631952444.

Almost surely, 2^{10111111112000} is an apocalyptic number.

10111111112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111111112000 is an abundant number, since it is smaller than the sum of its proper divisors (14929055576680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10111111112000 is an equidigital number, since it uses as much as digits as its factorization.

10111111112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263888916 (or 1263888896 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 10111111112000 its reverse (21111111101), we get a palindrome (10132222223101).

The spelling of 10111111112000 in words is "ten trillion, one hundred eleven billion, one hundred eleven million, one hundred twelve thousand".